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arxiv: 2501.12948 · v2 · submitted 2025-01-22 · 💻 cs.CL · cs.AI· cs.LG

DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

DeepSeek-AI , Daya Guo , Dejian Yang , Haowei Zhang , Junxiao Song , Peiyi Wang , Qihao Zhu , Runxin Xu
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Ruoyu Zhang Shirong Ma Xiao Bi Xiaokang Zhang Xingkai Yu Yu Wu Z.F. Wu Zhibin Gou Zhihong Shao Zhuoshu Li Ziyi Gao Aixin Liu Bing Xue Bingxuan Wang Bochao Wu Bei Feng Chengda Lu Chenggang Zhao Chengqi Deng Chenyu Zhang Chong Ruan Damai Dai Deli Chen Dongjie Ji Erhang Li Fangyun Lin Fucong Dai Fuli Luo Guangbo Hao Guanting Chen Guowei Li H. Zhang Han Bao Hanwei Xu Haocheng Wang Honghui Ding Huajian Xin Huazuo Gao Hui Qu Hui Li Jianzhong Guo Jiashi Li Jiawei Wang Jingchang Chen Jingyang Yuan Junjie Qiu Junlong Li J.L. Cai Jiaqi Ni Jian Liang Jin Chen Kai Dong Kai Hu Kaige Gao Kang Guan Kexin Huang Kuai Yu Lean Wang Lecong Zhang Liang Zhao Litong Wang Liyue Zhang Lei Xu Leyi Xia Mingchuan Zhang Minghua Zhang Minghui Tang Meng Li Miaojun Wang Mingming Li Ning Tian Panpan Huang Peng Zhang Qiancheng Wang Qinyu Chen Qiushi Du Ruiqi Ge Ruisong Zhang Ruizhe Pan Runji Wang R.J. Chen R.L. Jin Ruyi Chen Shanghao Lu Shangyan Zhou Shanhuang Chen Shengfeng Ye Shiyu Wang Shuiping Yu Shunfeng Zhou Shuting Pan S.S. Li Shuang Zhou Shaoqing Wu Tao Yun Tian Pei Tianyu Sun T. Wang Wangding Zeng Wanjia Zhao Wen Liu Wenfeng Liang Wenjun Gao Wenqin Yu Wentao Zhang W.L. Xiao Wei An XiaoDong Liu Xiaohan Wang Xiaokang Chen Xiaotao Nie Xin Cheng Xin Liu Xin Xie Xingchao Liu Xinyu Yang Xinyuan Li Xuecheng Su Xuheng Lin X.Q. Li Xiangyue Jin Xiaojin Shen Xiaosha Chen Xiaowen Sun Xiaoxiang Wang Xinnan Song Xinyi Zhou Xianzu Wang Xinxia Shan Y.K. Li Y.Q. Wang Y.X. Wei Yang Zhang Yanhong Xu Yao Li Yao Zhao Yaofeng Sun Yaohui Wang Yi Yu Yichao Zhang Yifan Shi Yiliang Xiong Ying He Yishi Piao Yisong Wang Yixuan Tan Yiyang Ma Yiyuan Liu Yongqiang Guo Yuan Ou Yuduan Wang Yue Gong Yuheng Zou Yujia He Yunfan Xiong Yuxiang Luo Yuxiang You Yuxuan Liu Yuyang Zhou Y.X. Zhu Yanping Huang Yaohui Li Yi Zheng Yuchen Zhu Yunxian Ma Ying Tang Yukun Zha Yuting Yan Z.Z. Ren Zehui Ren Zhangli Sha Zhe Fu Zhean Xu Zhenda Xie Zhengyan Zhang Zhewen Hao Zhicheng Ma Zhigang Yan Zhiyu Wu Zihui Gu Zijia Zhu Zijun Liu Zilin Li Ziwei Xie Ziyang Song Zizheng Pan Zhen Huang Zhipeng Xu Zhongyu Zhang Zhen Zhang
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Pith reviewed 2026-05-23 04:47 UTC · model grok-4.3

classification 💻 cs.CL cs.AIcs.LG
keywords reasoningmodelslearningllmscapabilitiesdemonstrationsemergentpatterns
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The pith

Pure reinforcement learning on LLMs produces emergent reasoning patterns and outperforms supervised models trained on human demonstrations on verifiable math, coding, and STEM tasks.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

Most current AI models learn reasoning by copying step-by-step examples written by humans. This paper instead gives the model rewards only when it produces correct final answers on problems that can be automatically checked, such as math questions. Over time the model begins to show new behaviors including checking its own answers, verifying steps, and switching strategies mid-problem. The resulting large model beats earlier versions on competition-level math and coding benchmarks. The same learned patterns can then be transferred to improve smaller models.

Core claim

the reasoning abilities of LLMs can be incentivized through pure reinforcement learning (RL), obviating the need for human-labeled reasoning trajectories. The proposed RL framework facilitates the emergent development of advanced reasoning patterns, such as self-reflection, verification, and dynamic strategy adaptation.

Load-bearing premise

That reward signals derived solely from verifiable final answers on training tasks are sufficient to produce generalizable reasoning strategies that transfer to unseen complex problems.

read the original abstract

General reasoning represents a long-standing and formidable challenge in artificial intelligence. Recent breakthroughs, exemplified by large language models (LLMs) and chain-of-thought prompting, have achieved considerable success on foundational reasoning tasks. However, this success is heavily contingent upon extensive human-annotated demonstrations, and models' capabilities are still insufficient for more complex problems. Here we show that the reasoning abilities of LLMs can be incentivized through pure reinforcement learning (RL), obviating the need for human-labeled reasoning trajectories. The proposed RL framework facilitates the emergent development of advanced reasoning patterns, such as self-reflection, verification, and dynamic strategy adaptation. Consequently, the trained model achieves superior performance on verifiable tasks such as mathematics, coding competitions, and STEM fields, surpassing its counterparts trained via conventional supervised learning on human demonstrations. Moreover, the emergent reasoning patterns exhibited by these large-scale models can be systematically harnessed to guide and enhance the reasoning capabilities of smaller models.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 0 minor

Summary. The paper claims that pure reinforcement learning (RL) can incentivize advanced reasoning capabilities in LLMs without requiring human-labeled reasoning trajectories. The proposed RL framework is said to enable emergent behaviors such as self-reflection, verification, and dynamic strategy adaptation. As a result, the trained model (DeepSeek-R1) achieves superior performance on verifiable tasks including mathematics, coding competitions, and STEM fields compared to models trained via supervised fine-tuning on human demonstrations. The emergent patterns are further claimed to be harnessable for improving smaller models.

Significance. If substantiated with rigorous evidence, the result would be significant for reducing dependence on human-annotated data in scaling LLM reasoning. Demonstrating that outcome-based rewards alone can induce transferable reasoning strategies would challenge current reliance on supervised fine-tuning for complex tasks. However, the abstract supplies no metrics, baselines, training details, or statistical evidence, so the significance cannot be assessed from the provided text; the full manuscript would need to include these to support the claims.

major comments (2)
  1. [Abstract] Abstract: the central claim that pure RL produces superior performance and emergent reasoning patterns is asserted without any quantitative metrics, baselines (e.g., specific SFT models), training details, or statistical evidence. This absence makes the claim unevaluable and directly undermines assessment of whether outcome-only rewards suffice for generalizable strategies.
  2. [Abstract] Abstract: the assertion that reward signals from verifiable final answers induce transferable patterns such as self-reflection and dynamic strategy adaptation on unseen problems lacks any supporting isolation experiment or transfer results; the training distribution (math/coding/STEM with easy verification) does not by itself guarantee generalization when problem structure changes.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments on the abstract. We agree that the abstract would be strengthened by the inclusion of key quantitative results and will revise it in the next version. We address each major comment below.

read point-by-point responses
  1. Referee: [Abstract] Abstract: the central claim that pure RL produces superior performance and emergent reasoning patterns is asserted without any quantitative metrics, baselines (e.g., specific SFT models), training details, or statistical evidence. This absence makes the claim unevaluable and directly undermines assessment of whether outcome-only rewards suffice for generalizable strategies.

    Authors: The full manuscript contains extensive experimental sections with quantitative metrics, specific SFT baselines, training details, and performance comparisons on mathematics, coding, and STEM benchmarks. We will revise the abstract to include representative numerical results and baseline references so that the central claims can be evaluated directly from the abstract. revision: yes

  2. Referee: [Abstract] Abstract: the assertion that reward signals from verifiable final answers induce transferable patterns such as self-reflection and dynamic strategy adaptation on unseen problems lacks any supporting isolation experiment or transfer results; the training distribution (math/coding/STEM with easy verification) does not by itself guarantee generalization when problem structure changes.

    Authors: The manuscript presents analyses of emergent behaviors during RL training and dedicated experiments showing that the resulting reasoning patterns can be used to improve smaller models. While we do not claim the training distribution guarantees generalization to arbitrary problem structures outside the evaluated domains, the reported results include transfer within verifiable tasks. We will add a brief reference to the transfer experiments in the revised abstract. revision: partial

Circularity Check

0 steps flagged

No circularity in claimed derivation or results

full rationale

The paper reports an empirical RL training procedure on verifiable-outcome tasks (math, coding, STEM) and measures downstream performance plus emergent behaviors such as self-reflection. No equations, uniqueness theorems, fitted parameters renamed as predictions, or self-citation chains are invoked to derive the central claim; the results are presented as experimental outcomes rather than reductions to inputs by construction. The derivation chain is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Review conducted from abstract only; no explicit free parameters, invented entities, or non-standard axioms are stated. The approach implicitly relies on standard RL assumptions about reward shaping and policy optimization.

axioms (1)
  • domain assumption Reinforcement learning with outcome-based rewards can shape complex sequential behaviors in large neural networks.
    Central premise of the proposed framework; invoked throughout the abstract description of emergent patterns.

pith-pipeline@v0.9.0 · 6502 in / 1109 out tokens · 44326 ms · 2026-05-23T04:47:04.438016+00:00 · methodology

discussion (0)

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